The volume of a box is 15,120 cubic inches. Find the depth of the box if its length and width are 42 in. and 24 in., respectively.

Question

The volume of a box is 15,120 cubic inches. Find the depth of the box if its length and width are 42 in. and 24 in., respectively.

Answer 1

Hi Noah, 

We know that the volume of the box is length*width*height, so we write the equation:

V=l*w*h Plug in our given values and solve for h:

15120=42*24*h 

15120=1008*h

15120/1008=h

15=h

∴The height of the box is 15 inches. 

Best, 

Star

Answer 2

The formula for the volume of a rectangular prism is V = lwh (length x width x height)

 

Substitute the given info in for each variable.

 

15120 = 42(24)h (h in this case will be the depth)

15120 = 1008h

h = 15

 

Therefore, the depth of the box would be 15 inches.